The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estima

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The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estima

ted they get. The times follow the Normal distribution with mean 529.9 minutes and standard deviation 135.6 minutes. An SRS of 100 of the participants has a mean time of x¯=514.4 minutes. A second SRS of size 100 has mean x¯=539.3 minutes. After many SRSs, the values of the sample mean x¯ follow the Normal distribution with mean 529.9 minutes and standard deviation 13.56 minutes.(a) What is the population?A. The population is 135.6 million respondents to the American Time Use Survey.B. The population is the 100 participants in the SRS.C. The population is the 10,900 respondents to the American Time Use Survey.D. The population is all Americans who sleep through the night.

Mathematics

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PIT_PIT [12.4K] · Answer 1 · 2026-04-07T02:55:30+03:00

C. The population consists of 10,900 participants in the American Time Use Survey. In statistics, population refers to a substantial group with shared characteristics, while a sample is a smaller subset extracted from it. The 2015 survey data indicates that each respondent estimates their nightly sleep duration, with a simple random sample of 100 participants reporting an average sleep time of x¯=514.4 minutes. Therefore, the population is defined as the 10,900 individuals responding to the survey.